(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find g' (-1/2), where g(x) is the inverse of f(x) = x^{3}/ (x^{2}+ 1)

2. Relevant equations

g'(x) = 1/f' [g(x)]

3. The attempt at a solution

Everything else I tried got really messy, but I feel like I'm going out on a limb by:

1) y=x^{3}/ (x^{2}+1)

2) y=x^{3}x^{-2}/ 1

3) y=x

4) g '(0.5)= 1/ (0.5^{3}/(0.5^{2}+1) = 10

I don't even know if I'm going about it the right way. Any help would be awesome. Thanks.

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# Homework Help: Derivative of Inverse Function

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